Search a number
-
+
11392100 = 2252113921
BaseRepresentation
bin101011011101…
…010001100100
3210102210000122
4223131101210
510404021400
61044101112
7165555056
oct53352144
923383018
1011392100
116481065
123994798
13248b3b5
1417278d6
151000685
hexadd464

11392100 has 18 divisors (see below), whose sum is σ = 24721074. Its totient is φ = 4556800.

The previous prime is 11392081. The next prime is 11392103. The reversal of 11392100 is 129311.

It is a happy number.

11392100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 209764 + 11182336 = 458^2 + 3344^2 .

It is not an unprimeable number, because it can be changed into a prime (11392103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56861 + ... + 57060.

It is an arithmetic number, because the mean of its divisors is an integer number (1373393).

Almost surely, 211392100 is an apocalyptic number.

11392100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11392100 is an abundant number, since it is smaller than the sum of its proper divisors (13328974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11392100 is a wasteful number, since it uses less digits than its factorization.

11392100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113935 (or 113928 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 11392100 is about 3375.2185114449. The cubic root of 11392100 is about 225.0097115150.

The spelling of 11392100 in words is "eleven million, three hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113921 227842 455684 569605 1139210 2278420 2848025 5696050 11392100